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Simplifying 12(a + -1) = 52 + -14(a + -1) Reorder the terms: 12(-1 + a) = 52 + -14(a + -1) (-1 * 12 + a * 12) = 52 + -14(a + -1) (-12 + 12a) = 52 + -14(a + -1) Reorder the terms: -12 + 12a = 52 + -14(-1 + a) -12 + 12a = 52 + (-1 * -14 + a * -14) -12 + 12a = 52 + (14 + -14a) Combine like terms: 52 + 14 = 66 -12 + 12a = 66 + -14a Solving -12 + 12a = 66 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. -12 + 12a + 14a = 66 + -14a + 14a Combine like terms: 12a + 14a = 26a -12 + 26a = 66 + -14a + 14a Combine like terms: -14a + 14a = 0 -12 + 26a = 66 + 0 -12 + 26a = 66 Add '12' to each side of the equation. -12 + 12 + 26a = 66 + 12 Combine like terms: -12 + 12 = 0 0 + 26a = 66 + 12 26a = 66 + 12 Combine like terms: 66 + 12 = 78 26a = 78 Divide each side by '26'. a = 3 Simplifying a = 3
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