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Simplifying -48 + -5a = 3(5a + 4) Reorder the terms: -48 + -5a = 3(4 + 5a) -48 + -5a = (4 * 3 + 5a * 3) -48 + -5a = (12 + 15a) Solving -48 + -5a = 12 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -48 + -5a + -15a = 12 + 15a + -15a Combine like terms: -5a + -15a = -20a -48 + -20a = 12 + 15a + -15a Combine like terms: 15a + -15a = 0 -48 + -20a = 12 + 0 -48 + -20a = 12 Add '48' to each side of the equation. -48 + 48 + -20a = 12 + 48 Combine like terms: -48 + 48 = 0 0 + -20a = 12 + 48 -20a = 12 + 48 Combine like terms: 12 + 48 = 60 -20a = 60 Divide each side by '-20'. a = -3 Simplifying a = -3
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