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Simplifying -7(a + 7) = -5(4a + 6) + -6a Reorder the terms: -7(7 + a) = -5(4a + 6) + -6a (7 * -7 + a * -7) = -5(4a + 6) + -6a (-49 + -7a) = -5(4a + 6) + -6a Reorder the terms: -49 + -7a = -5(6 + 4a) + -6a -49 + -7a = (6 * -5 + 4a * -5) + -6a -49 + -7a = (-30 + -20a) + -6a Combine like terms: -20a + -6a = -26a -49 + -7a = -30 + -26a Solving -49 + -7a = -30 + -26a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '26a' to each side of the equation. -49 + -7a + 26a = -30 + -26a + 26a Combine like terms: -7a + 26a = 19a -49 + 19a = -30 + -26a + 26a Combine like terms: -26a + 26a = 0 -49 + 19a = -30 + 0 -49 + 19a = -30 Add '49' to each side of the equation. -49 + 49 + 19a = -30 + 49 Combine like terms: -49 + 49 = 0 0 + 19a = -30 + 49 19a = -30 + 49 Combine like terms: -30 + 49 = 19 19a = 19 Divide each side by '19'. a = 1 Simplifying a = 1
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