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Simplifying 3(a + -3) + -4 = 2a + -6 Reorder the terms: 3(-3 + a) + -4 = 2a + -6 (-3 * 3 + a * 3) + -4 = 2a + -6 (-9 + 3a) + -4 = 2a + -6 Reorder the terms: -9 + -4 + 3a = 2a + -6 Combine like terms: -9 + -4 = -13 -13 + 3a = 2a + -6 Reorder the terms: -13 + 3a = -6 + 2a Solving -13 + 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. -13 + 3a + -2a = -6 + 2a + -2a Combine like terms: 3a + -2a = 1a -13 + 1a = -6 + 2a + -2a Combine like terms: 2a + -2a = 0 -13 + 1a = -6 + 0 -13 + 1a = -6 Add '13' to each side of the equation. -13 + 13 + 1a = -6 + 13 Combine like terms: -13 + 13 = 0 0 + 1a = -6 + 13 1a = -6 + 13 Combine like terms: -6 + 13 = 7 1a = 7 Divide each side by '1'. a = 7 Simplifying a = 7
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