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Simplifying 2(6a + -7) = 3(5a + 5) Reorder the terms: 2(-7 + 6a) = 3(5a + 5) (-7 * 2 + 6a * 2) = 3(5a + 5) (-14 + 12a) = 3(5a + 5) Reorder the terms: -14 + 12a = 3(5 + 5a) -14 + 12a = (5 * 3 + 5a * 3) -14 + 12a = (15 + 15a) Solving -14 + 12a = 15 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -14 + 12a + -15a = 15 + 15a + -15a Combine like terms: 12a + -15a = -3a -14 + -3a = 15 + 15a + -15a Combine like terms: 15a + -15a = 0 -14 + -3a = 15 + 0 -14 + -3a = 15 Add '14' to each side of the equation. -14 + 14 + -3a = 15 + 14 Combine like terms: -14 + 14 = 0 0 + -3a = 15 + 14 -3a = 15 + 14 Combine like terms: 15 + 14 = 29 -3a = 29 Divide each side by '-3'. a = -9.666666667 Simplifying a = -9.666666667
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