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Simplifying 20 = -1(a + 3) + 7(-1 + -2a) Reorder the terms: 20 = -1(3 + a) + 7(-1 + -2a) 20 = (3 * -1 + a * -1) + 7(-1 + -2a) 20 = (-3 + -1a) + 7(-1 + -2a) 20 = -3 + -1a + (-1 * 7 + -2a * 7) 20 = -3 + -1a + (-7 + -14a) Reorder the terms: 20 = -3 + -7 + -1a + -14a Combine like terms: -3 + -7 = -10 20 = -10 + -1a + -14a Combine like terms: -1a + -14a = -15a 20 = -10 + -15a Solving 20 = -10 + -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. 20 + 15a = -10 + -15a + 15a Combine like terms: -15a + 15a = 0 20 + 15a = -10 + 0 20 + 15a = -10 Add '-20' to each side of the equation. 20 + -20 + 15a = -10 + -20 Combine like terms: 20 + -20 = 0 0 + 15a = -10 + -20 15a = -10 + -20 Combine like terms: -10 + -20 = -30 15a = -30 Divide each side by '15'. a = -2 Simplifying a = -2
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