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Simplifying 1(a + -2) = 2(a + -3) + -2 Reorder the terms: 1(-2 + a) = 2(a + -3) + -2 (-2 * 1 + a * 1) = 2(a + -3) + -2 (-2 + 1a) = 2(a + -3) + -2 Reorder the terms: -2 + 1a = 2(-3 + a) + -2 -2 + 1a = (-3 * 2 + a * 2) + -2 -2 + 1a = (-6 + 2a) + -2 Reorder the terms: -2 + 1a = -6 + -2 + 2a Combine like terms: -6 + -2 = -8 -2 + 1a = -8 + 2a Solving -2 + 1a = -8 + 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. -2 + 1a + -2a = -8 + 2a + -2a Combine like terms: 1a + -2a = -1a -2 + -1a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 -2 + -1a = -8 + 0 -2 + -1a = -8 Add '2' to each side of the equation. -2 + 2 + -1a = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -1a = -8 + 2 -1a = -8 + 2 Combine like terms: -8 + 2 = -6 -1a = -6 Divide each side by '-1'. a = 6 Simplifying a = 6
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