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Simplifying 4(a + -5) + -3(a + -5) = 29 Reorder the terms: 4(-5 + a) + -3(a + -5) = 29 (-5 * 4 + a * 4) + -3(a + -5) = 29 (-20 + 4a) + -3(a + -5) = 29 Reorder the terms: -20 + 4a + -3(-5 + a) = 29 -20 + 4a + (-5 * -3 + a * -3) = 29 -20 + 4a + (15 + -3a) = 29 Reorder the terms: -20 + 15 + 4a + -3a = 29 Combine like terms: -20 + 15 = -5 -5 + 4a + -3a = 29 Combine like terms: 4a + -3a = 1a -5 + 1a = 29 Solving -5 + 1a = 29 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1a = 29 + 5 Combine like terms: -5 + 5 = 0 0 + 1a = 29 + 5 1a = 29 + 5 Combine like terms: 29 + 5 = 34 1a = 34 Divide each side by '1'. a = 34 Simplifying a = 34
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