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Simplifying 2a + 7 = 12(a + -3) Reorder the terms: 7 + 2a = 12(a + -3) Reorder the terms: 7 + 2a = 12(-3 + a) 7 + 2a = (-3 * 12 + a * 12) 7 + 2a = (-36 + 12a) Solving 7 + 2a = -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. 7 + 2a + -12a = -36 + 12a + -12a Combine like terms: 2a + -12a = -10a 7 + -10a = -36 + 12a + -12a Combine like terms: 12a + -12a = 0 7 + -10a = -36 + 0 7 + -10a = -36 Add '-7' to each side of the equation. 7 + -7 + -10a = -36 + -7 Combine like terms: 7 + -7 = 0 0 + -10a = -36 + -7 -10a = -36 + -7 Combine like terms: -36 + -7 = -43 -10a = -43 Divide each side by '-10'. a = 4.3 Simplifying a = 4.3
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