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Simplifying -3(a + 14) = 6(2a + 3) Reorder the terms: -3(14 + a) = 6(2a + 3) (14 * -3 + a * -3) = 6(2a + 3) (-42 + -3a) = 6(2a + 3) Reorder the terms: -42 + -3a = 6(3 + 2a) -42 + -3a = (3 * 6 + 2a * 6) -42 + -3a = (18 + 12a) Solving -42 + -3a = 18 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -42 + -3a + -12a = 18 + 12a + -12a Combine like terms: -3a + -12a = -15a -42 + -15a = 18 + 12a + -12a Combine like terms: 12a + -12a = 0 -42 + -15a = 18 + 0 -42 + -15a = 18 Add '42' to each side of the equation. -42 + 42 + -15a = 18 + 42 Combine like terms: -42 + 42 = 0 0 + -15a = 18 + 42 -15a = 18 + 42 Combine like terms: 18 + 42 = 60 -15a = 60 Divide each side by '-15'. a = -4 Simplifying a = -4
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