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Simplifying -78 = 5(4a + -3) + -3 Reorder the terms: -78 = 5(-3 + 4a) + -3 -78 = (-3 * 5 + 4a * 5) + -3 -78 = (-15 + 20a) + -3 Reorder the terms: -78 = -15 + -3 + 20a Combine like terms: -15 + -3 = -18 -78 = -18 + 20a Solving -78 = -18 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -78 + -20a = -18 + 20a + -20a Combine like terms: 20a + -20a = 0 -78 + -20a = -18 + 0 -78 + -20a = -18 Add '78' to each side of the equation. -78 + 78 + -20a = -18 + 78 Combine like terms: -78 + 78 = 0 0 + -20a = -18 + 78 -20a = -18 + 78 Combine like terms: -18 + 78 = 60 -20a = 60 Divide each side by '-20'. a = -3 Simplifying a = -3
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