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Simplifying 6(a + -3) + 10 = 2(4x + -5) Reorder the terms: 6(-3 + a) + 10 = 2(4x + -5) (-3 * 6 + a * 6) + 10 = 2(4x + -5) (-18 + 6a) + 10 = 2(4x + -5) Reorder the terms: -18 + 10 + 6a = 2(4x + -5) Combine like terms: -18 + 10 = -8 -8 + 6a = 2(4x + -5) Reorder the terms: -8 + 6a = 2(-5 + 4x) -8 + 6a = (-5 * 2 + 4x * 2) -8 + 6a = (-10 + 8x) Solving -8 + 6a = -10 + 8x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 6a = -10 + 8 + 8x Combine like terms: -8 + 8 = 0 0 + 6a = -10 + 8 + 8x 6a = -10 + 8 + 8x Combine like terms: -10 + 8 = -2 6a = -2 + 8x Divide each side by '6'. a = -0.3333333333 + 1.333333333x Simplifying a = -0.3333333333 + 1.333333333x
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