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Simplifying 36 + -10a = 4(5 + -3a) + -2 36 + -10a = (5 * 4 + -3a * 4) + -2 36 + -10a = (20 + -12a) + -2 Reorder the terms: 36 + -10a = 20 + -2 + -12a Combine like terms: 20 + -2 = 18 36 + -10a = 18 + -12a Solving 36 + -10a = 18 + -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. 36 + -10a + 12a = 18 + -12a + 12a Combine like terms: -10a + 12a = 2a 36 + 2a = 18 + -12a + 12a Combine like terms: -12a + 12a = 0 36 + 2a = 18 + 0 36 + 2a = 18 Add '-36' to each side of the equation. 36 + -36 + 2a = 18 + -36 Combine like terms: 36 + -36 = 0 0 + 2a = 18 + -36 2a = 18 + -36 Combine like terms: 18 + -36 = -18 2a = -18 Divide each side by '2'. a = -9 Simplifying a = -9
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