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Simplifying 8 + -3(a + 3) = 2a + -6 Reorder the terms: 8 + -3(3 + a) = 2a + -6 8 + (3 * -3 + a * -3) = 2a + -6 8 + (-9 + -3a) = 2a + -6 Combine like terms: 8 + -9 = -1 -1 + -3a = 2a + -6 Reorder the terms: -1 + -3a = -6 + 2a Solving -1 + -3a = -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. -1 + -3a + -2a = -6 + 2a + -2a Combine like terms: -3a + -2a = -5a -1 + -5a = -6 + 2a + -2a Combine like terms: 2a + -2a = 0 -1 + -5a = -6 + 0 -1 + -5a = -6 Add '1' to each side of the equation. -1 + 1 + -5a = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -5a = -6 + 1 -5a = -6 + 1 Combine like terms: -6 + 1 = -5 -5a = -5 Divide each side by '-5'. a = 1 Simplifying a = 1
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