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Simplifying 3(a + -5) = 4(2a + -5) Reorder the terms: 3(-5 + a) = 4(2a + -5) (-5 * 3 + a * 3) = 4(2a + -5) (-15 + 3a) = 4(2a + -5) Reorder the terms: -15 + 3a = 4(-5 + 2a) -15 + 3a = (-5 * 4 + 2a * 4) -15 + 3a = (-20 + 8a) Solving -15 + 3a = -20 + 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. -15 + 3a + -8a = -20 + 8a + -8a Combine like terms: 3a + -8a = -5a -15 + -5a = -20 + 8a + -8a Combine like terms: 8a + -8a = 0 -15 + -5a = -20 + 0 -15 + -5a = -20 Add '15' to each side of the equation. -15 + 15 + -5a = -20 + 15 Combine like terms: -15 + 15 = 0 0 + -5a = -20 + 15 -5a = -20 + 15 Combine like terms: -20 + 15 = -5 -5a = -5 Divide each side by '-5'. a = 1 Simplifying a = 1
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