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Simplifying (a + -8) + 7 = 5(a + -2) + -3a + -19 Reorder the terms: (-8 + a) + 7 = 5(a + -2) + -3a + -19 Remove parenthesis around (-8 + a) -8 + a + 7 = 5(a + -2) + -3a + -19 Reorder the terms: -8 + 7 + a = 5(a + -2) + -3a + -19 Combine like terms: -8 + 7 = -1 -1 + a = 5(a + -2) + -3a + -19 Reorder the terms: -1 + a = 5(-2 + a) + -3a + -19 -1 + a = (-2 * 5 + a * 5) + -3a + -19 -1 + a = (-10 + 5a) + -3a + -19 Reorder the terms: -1 + a = -10 + -19 + 5a + -3a Combine like terms: -10 + -19 = -29 -1 + a = -29 + 5a + -3a Combine like terms: 5a + -3a = 2a -1 + a = -29 + 2a Solving -1 + a = -29 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -1 + a + -2a = -29 + 2a + -2a Combine like terms: a + -2a = -1a -1 + -1a = -29 + 2a + -2a Combine like terms: 2a + -2a = 0 -1 + -1a = -29 + 0 -1 + -1a = -29 Add '1' to each side of the equation. -1 + 1 + -1a = -29 + 1 Combine like terms: -1 + 1 = 0 0 + -1a = -29 + 1 -1a = -29 + 1 Combine like terms: -29 + 1 = -28 -1a = -28 Divide each side by '-1'. a = 28 Simplifying a = 28
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