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Simplifying -1(7 + -7a) + -1(16 + 6a) + -10 = -1(6 + -6a) + (-1a) + 5 (7 * -1 + -7a * -1) + -1(16 + 6a) + -10 = -1(6 + -6a) + (-1a) + 5 (-7 + 7a) + -1(16 + 6a) + -10 = -1(6 + -6a) + (-1a) + 5 -7 + 7a + (16 * -1 + 6a * -1) + -10 = -1(6 + -6a) + (-1a) + 5 -7 + 7a + (-16 + -6a) + -10 = -1(6 + -6a) + (-1a) + 5 Reorder the terms: -7 + -16 + -10 + 7a + -6a = -1(6 + -6a) + (-1a) + 5 Combine like terms: -7 + -16 = -23 -23 + -10 + 7a + -6a = -1(6 + -6a) + (-1a) + 5 Combine like terms: -23 + -10 = -33 -33 + 7a + -6a = -1(6 + -6a) + (-1a) + 5 Combine like terms: 7a + -6a = 1a -33 + 1a = -1(6 + -6a) + (-1a) + 5 -33 + 1a = (6 * -1 + -6a * -1) + (-1a) + 5 -33 + 1a = (-6 + 6a) + (-1a) + 5 Reorder the terms: -33 + 1a = -6 + 5 + 6a + (-1a) Combine like terms: -6 + 5 = -1 -33 + 1a = -1 + 6a + (-1a) Combine like terms: 6a + (-1a) = 5a -33 + 1a = -1 + 5a Solving -33 + 1a = -1 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -33 + 1a + -5a = -1 + 5a + -5a Combine like terms: 1a + -5a = -4a -33 + -4a = -1 + 5a + -5a Combine like terms: 5a + -5a = 0 -33 + -4a = -1 + 0 -33 + -4a = -1 Add '33' to each side of the equation. -33 + 33 + -4a = -1 + 33 Combine like terms: -33 + 33 = 0 0 + -4a = -1 + 33 -4a = -1 + 33 Combine like terms: -1 + 33 = 32 -4a = 32 Divide each side by '-4'. a = -8 Simplifying a = -8
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