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Simplifying 4(a + -4) = 5(a + -3) Reorder the terms: 4(-4 + a) = 5(a + -3) (-4 * 4 + a * 4) = 5(a + -3) (-16 + 4a) = 5(a + -3) Reorder the terms: -16 + 4a = 5(-3 + a) -16 + 4a = (-3 * 5 + a * 5) -16 + 4a = (-15 + 5a) Solving -16 + 4a = -15 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -16 + 4a + -5a = -15 + 5a + -5a Combine like terms: 4a + -5a = -1a -16 + -1a = -15 + 5a + -5a Combine like terms: 5a + -5a = 0 -16 + -1a = -15 + 0 -16 + -1a = -15 Add '16' to each side of the equation. -16 + 16 + -1a = -15 + 16 Combine like terms: -16 + 16 = 0 0 + -1a = -15 + 16 -1a = -15 + 16 Combine like terms: -15 + 16 = 1 -1a = 1 Divide each side by '-1'. a = -1 Simplifying a = -1
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