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