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Simplifying 8 + -5(3a + -11) = -12a + 84 Reorder the terms: 8 + -5(-11 + 3a) = -12a + 84 8 + (-11 * -5 + 3a * -5) = -12a + 84 8 + (55 + -15a) = -12a + 84 Combine like terms: 8 + 55 = 63 63 + -15a = -12a + 84 Reorder the terms: 63 + -15a = 84 + -12a Solving 63 + -15a = 84 + -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. 63 + -15a + 12a = 84 + -12a + 12a Combine like terms: -15a + 12a = -3a 63 + -3a = 84 + -12a + 12a Combine like terms: -12a + 12a = 0 63 + -3a = 84 + 0 63 + -3a = 84 Add '-63' to each side of the equation. 63 + -63 + -3a = 84 + -63 Combine like terms: 63 + -63 = 0 0 + -3a = 84 + -63 -3a = 84 + -63 Combine like terms: 84 + -63 = 21 -3a = 21 Divide each side by '-3'. a = -7 Simplifying a = -7
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