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Simplifying 7(a) + -6 = 12(a + -2) Reorder the terms: -6 + 7a = 12(a + -2) Reorder the terms: -6 + 7a = 12(-2 + a) -6 + 7a = (-2 * 12 + a * 12) -6 + 7a = (-24 + 12a) Solving -6 + 7a = -24 + 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. -6 + 7a + -12a = -24 + 12a + -12a Combine like terms: 7a + -12a = -5a -6 + -5a = -24 + 12a + -12a Combine like terms: 12a + -12a = 0 -6 + -5a = -24 + 0 -6 + -5a = -24 Add '6' to each side of the equation. -6 + 6 + -5a = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -5a = -24 + 6 -5a = -24 + 6 Combine like terms: -24 + 6 = -18 -5a = -18 Divide each side by '-5'. a = 3.6 Simplifying a = 3.6
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