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Simplifying 6 + -7(a + 1) = -3(2 + -1a) Reorder the terms: 6 + -7(1 + a) = -3(2 + -1a) 6 + (1 * -7 + a * -7) = -3(2 + -1a) 6 + (-7 + -7a) = -3(2 + -1a) Combine like terms: 6 + -7 = -1 -1 + -7a = -3(2 + -1a) -1 + -7a = (2 * -3 + -1a * -3) -1 + -7a = (-6 + 3a) Solving -1 + -7a = -6 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -1 + -7a + -3a = -6 + 3a + -3a Combine like terms: -7a + -3a = -10a -1 + -10a = -6 + 3a + -3a Combine like terms: 3a + -3a = 0 -1 + -10a = -6 + 0 -1 + -10a = -6 Add '1' to each side of the equation. -1 + 1 + -10a = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -10a = -6 + 1 -10a = -6 + 1 Combine like terms: -6 + 1 = -5 -10a = -5 Divide each side by '-10'. a = 0.5 Simplifying a = 0.5
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