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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 = -29 -10a = -29 Divide each side by '-10'. a = 2.9 Simplifying a = 2.9
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