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Simplifying 3a(2 + -5) + -2(a + 2) = 29 Combine like terms: 2 + -5 = -3 3a(-3) + -2(a + 2) = 29 Reorder the terms for easier multiplication: 3 * -3a + -2(a + 2) = 29 Multiply 3 * -3 -9a + -2(a + 2) = 29 Reorder the terms: -9a + -2(2 + a) = 29 -9a + (2 * -2 + a * -2) = 29 -9a + (-4 + -2a) = 29 Reorder the terms: -4 + -9a + -2a = 29 Combine like terms: -9a + -2a = -11a -4 + -11a = 29 Solving -4 + -11a = 29 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -11a = 29 + 4 Combine like terms: -4 + 4 = 0 0 + -11a = 29 + 4 -11a = 29 + 4 Combine like terms: 29 + 4 = 33 -11a = 33 Divide each side by '-11'. a = -3 Simplifying a = -3
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