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Simplifying 10a + -12 = 15(a + -2) Reorder the terms: -12 + 10a = 15(a + -2) Reorder the terms: -12 + 10a = 15(-2 + a) -12 + 10a = (-2 * 15 + a * 15) -12 + 10a = (-30 + 15a) Solving -12 + 10a = -30 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -12 + 10a + -15a = -30 + 15a + -15a Combine like terms: 10a + -15a = -5a -12 + -5a = -30 + 15a + -15a Combine like terms: 15a + -15a = 0 -12 + -5a = -30 + 0 -12 + -5a = -30 Add '12' to each side of the equation. -12 + 12 + -5a = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -5a = -30 + 12 -5a = -30 + 12 Combine like terms: -30 + 12 = -18 -5a = -18 Divide each side by '-5'. a = 3.6 Simplifying a = 3.6
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