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Simplifying 7a + -5 = 12(a + -3) Reorder the terms: -5 + 7a = 12(a + -3) Reorder the terms: -5 + 7a = 12(-3 + a) -5 + 7a = (-3 * 12 + a * 12) -5 + 7a = (-36 + 12a) Solving -5 + 7a = -36 + 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. -5 + 7a + -12a = -36 + 12a + -12a Combine like terms: 7a + -12a = -5a -5 + -5a = -36 + 12a + -12a Combine like terms: 12a + -12a = 0 -5 + -5a = -36 + 0 -5 + -5a = -36 Add '5' to each side of the equation. -5 + 5 + -5a = -36 + 5 Combine like terms: -5 + 5 = 0 0 + -5a = -36 + 5 -5a = -36 + 5 Combine like terms: -36 + 5 = -31 -5a = -31 Divide each side by '-5'. a = 6.2 Simplifying a = 6.2
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