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Simplifying 10(a + -1) + -2(a + 2) + 3 = 13 Reorder the terms: 10(-1 + a) + -2(a + 2) + 3 = 13 (-1 * 10 + a * 10) + -2(a + 2) + 3 = 13 (-10 + 10a) + -2(a + 2) + 3 = 13 Reorder the terms: -10 + 10a + -2(2 + a) + 3 = 13 -10 + 10a + (2 * -2 + a * -2) + 3 = 13 -10 + 10a + (-4 + -2a) + 3 = 13 Reorder the terms: -10 + -4 + 3 + 10a + -2a = 13 Combine like terms: -10 + -4 = -14 -14 + 3 + 10a + -2a = 13 Combine like terms: -14 + 3 = -11 -11 + 10a + -2a = 13 Combine like terms: 10a + -2a = 8a -11 + 8a = 13 Solving -11 + 8a = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 8a = 13 + 11 Combine like terms: -11 + 11 = 0 0 + 8a = 13 + 11 8a = 13 + 11 Combine like terms: 13 + 11 = 24 8a = 24 Divide each side by '8'. a = 3 Simplifying a = 3
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