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Simplifying 3(a + -5) = 6(a + 8) + 6a Reorder the terms: 3(-5 + a) = 6(a + 8) + 6a (-5 * 3 + a * 3) = 6(a + 8) + 6a (-15 + 3a) = 6(a + 8) + 6a Reorder the terms: -15 + 3a = 6(8 + a) + 6a -15 + 3a = (8 * 6 + a * 6) + 6a -15 + 3a = (48 + 6a) + 6a Combine like terms: 6a + 6a = 12a -15 + 3a = 48 + 12a Solving -15 + 3a = 48 + 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. -15 + 3a + -12a = 48 + 12a + -12a Combine like terms: 3a + -12a = -9a -15 + -9a = 48 + 12a + -12a Combine like terms: 12a + -12a = 0 -15 + -9a = 48 + 0 -15 + -9a = 48 Add '15' to each side of the equation. -15 + 15 + -9a = 48 + 15 Combine like terms: -15 + 15 = 0 0 + -9a = 48 + 15 -9a = 48 + 15 Combine like terms: 48 + 15 = 63 -9a = 63 Divide each side by '-9'. a = -7 Simplifying a = -7
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