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Simplifying 3(2a + -6) = 8(2a + -3) Reorder the terms: 3(-6 + 2a) = 8(2a + -3) (-6 * 3 + 2a * 3) = 8(2a + -3) (-18 + 6a) = 8(2a + -3) Reorder the terms: -18 + 6a = 8(-3 + 2a) -18 + 6a = (-3 * 8 + 2a * 8) -18 + 6a = (-24 + 16a) Solving -18 + 6a = -24 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -18 + 6a + -16a = -24 + 16a + -16a Combine like terms: 6a + -16a = -10a -18 + -10a = -24 + 16a + -16a Combine like terms: 16a + -16a = 0 -18 + -10a = -24 + 0 -18 + -10a = -24 Add '18' to each side of the equation. -18 + 18 + -10a = -24 + 18 Combine like terms: -18 + 18 = 0 0 + -10a = -24 + 18 -10a = -24 + 18 Combine like terms: -24 + 18 = -6 -10a = -6 Divide each side by '-10'. a = 0.6 Simplifying a = 0.6
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