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Simplifying 5(a + 2) + -10(a + -1) = -4(2a + 3) + -7 Reorder the terms: 5(2 + a) + -10(a + -1) = -4(2a + 3) + -7 (2 * 5 + a * 5) + -10(a + -1) = -4(2a + 3) + -7 (10 + 5a) + -10(a + -1) = -4(2a + 3) + -7 Reorder the terms: 10 + 5a + -10(-1 + a) = -4(2a + 3) + -7 10 + 5a + (-1 * -10 + a * -10) = -4(2a + 3) + -7 10 + 5a + (10 + -10a) = -4(2a + 3) + -7 Reorder the terms: 10 + 10 + 5a + -10a = -4(2a + 3) + -7 Combine like terms: 10 + 10 = 20 20 + 5a + -10a = -4(2a + 3) + -7 Combine like terms: 5a + -10a = -5a 20 + -5a = -4(2a + 3) + -7 Reorder the terms: 20 + -5a = -4(3 + 2a) + -7 20 + -5a = (3 * -4 + 2a * -4) + -7 20 + -5a = (-12 + -8a) + -7 Reorder the terms: 20 + -5a = -12 + -7 + -8a Combine like terms: -12 + -7 = -19 20 + -5a = -19 + -8a Solving 20 + -5a = -19 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 20 + -5a + 8a = -19 + -8a + 8a Combine like terms: -5a + 8a = 3a 20 + 3a = -19 + -8a + 8a Combine like terms: -8a + 8a = 0 20 + 3a = -19 + 0 20 + 3a = -19 Add '-20' to each side of the equation. 20 + -20 + 3a = -19 + -20 Combine like terms: 20 + -20 = 0 0 + 3a = -19 + -20 3a = -19 + -20 Combine like terms: -19 + -20 = -39 3a = -39 Divide each side by '3'. a = -13 Simplifying a = -13
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