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Simplifying 5(-6 + -3a) = 3(8 + 7a) (-6 * 5 + -3a * 5) = 3(8 + 7a) (-30 + -15a) = 3(8 + 7a) -30 + -15a = (8 * 3 + 7a * 3) -30 + -15a = (24 + 21a) Solving -30 + -15a = 24 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. -30 + -15a + -21a = 24 + 21a + -21a Combine like terms: -15a + -21a = -36a -30 + -36a = 24 + 21a + -21a Combine like terms: 21a + -21a = 0 -30 + -36a = 24 + 0 -30 + -36a = 24 Add '30' to each side of the equation. -30 + 30 + -36a = 24 + 30 Combine like terms: -30 + 30 = 0 0 + -36a = 24 + 30 -36a = 24 + 30 Combine like terms: 24 + 30 = 54 -36a = 54 Divide each side by '-36'. a = -1.5 Simplifying a = -1.5
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