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Simplifying 6(a + -2) + -1(a + 1) = 2a + 6 Reorder the terms: 6(-2 + a) + -1(a + 1) = 2a + 6 (-2 * 6 + a * 6) + -1(a + 1) = 2a + 6 (-12 + 6a) + -1(a + 1) = 2a + 6 Reorder the terms: -12 + 6a + -1(1 + a) = 2a + 6 -12 + 6a + (1 * -1 + a * -1) = 2a + 6 -12 + 6a + (-1 + -1a) = 2a + 6 Reorder the terms: -12 + -1 + 6a + -1a = 2a + 6 Combine like terms: -12 + -1 = -13 -13 + 6a + -1a = 2a + 6 Combine like terms: 6a + -1a = 5a -13 + 5a = 2a + 6 Reorder the terms: -13 + 5a = 6 + 2a Solving -13 + 5a = 6 + 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. -13 + 5a + -2a = 6 + 2a + -2a Combine like terms: 5a + -2a = 3a -13 + 3a = 6 + 2a + -2a Combine like terms: 2a + -2a = 0 -13 + 3a = 6 + 0 -13 + 3a = 6 Add '13' to each side of the equation. -13 + 13 + 3a = 6 + 13 Combine like terms: -13 + 13 = 0 0 + 3a = 6 + 13 3a = 6 + 13 Combine like terms: 6 + 13 = 19 3a = 19 Divide each side by '3'. a = 6.333333333 Simplifying a = 6.333333333
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