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Simplifying 3(2a + -4) = 8a + -15 Reorder the terms: 3(-4 + 2a) = 8a + -15 (-4 * 3 + 2a * 3) = 8a + -15 (-12 + 6a) = 8a + -15 Reorder the terms: -12 + 6a = -15 + 8a Solving -12 + 6a = -15 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -12 + 6a + -8a = -15 + 8a + -8a Combine like terms: 6a + -8a = -2a -12 + -2a = -15 + 8a + -8a Combine like terms: 8a + -8a = 0 -12 + -2a = -15 + 0 -12 + -2a = -15 Add '12' to each side of the equation. -12 + 12 + -2a = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -2a = -15 + 12 -2a = -15 + 12 Combine like terms: -15 + 12 = -3 -2a = -3 Divide each side by '-2'. a = 1.5 Simplifying a = 1.5
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