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Simplifying -10 + 7(a + 3) = 4(2a + -1) + 5 Reorder the terms: -10 + 7(3 + a) = 4(2a + -1) + 5 -10 + (3 * 7 + a * 7) = 4(2a + -1) + 5 -10 + (21 + 7a) = 4(2a + -1) + 5 Combine like terms: -10 + 21 = 11 11 + 7a = 4(2a + -1) + 5 Reorder the terms: 11 + 7a = 4(-1 + 2a) + 5 11 + 7a = (-1 * 4 + 2a * 4) + 5 11 + 7a = (-4 + 8a) + 5 Reorder the terms: 11 + 7a = -4 + 5 + 8a Combine like terms: -4 + 5 = 1 11 + 7a = 1 + 8a Solving 11 + 7a = 1 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 11 + 7a + -8a = 1 + 8a + -8a Combine like terms: 7a + -8a = -1a 11 + -1a = 1 + 8a + -8a Combine like terms: 8a + -8a = 0 11 + -1a = 1 + 0 11 + -1a = 1 Add '-11' to each side of the equation. 11 + -11 + -1a = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -1a = 1 + -11 -1a = 1 + -11 Combine like terms: 1 + -11 = -10 -1a = -10 Divide each side by '-1'. a = 10 Simplifying a = 10
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