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Simplifying -2(a + -3) + 3(a + -4) * 0 = 2a + -7 Reorder the terms: -2(-3 + a) + 3(a + -4) * 0 = 2a + -7 (-3 * -2 + a * -2) + 3(a + -4) * 0 = 2a + -7 (6 + -2a) + 3(a + -4) * 0 = 2a + -7 Reorder the terms: 6 + -2a + 3(-4 + a) * 0 = 2a + -7 Reorder the terms for easier multiplication: 6 + -2a + 3 * 0(-4 + a) = 2a + -7 Multiply 3 * 0 6 + -2a + 0(-4 + a) = 2a + -7 Anything times zero is zero. 6 + -2a + 0(-4 + a) = 2a + -7 Reorder the terms: 6 + 0 + -2a = 2a + -7 Combine like terms: 6 + 0 = 6 6 + -2a = 2a + -7 Reorder the terms: 6 + -2a = -7 + 2a Solving 6 + -2a = -7 + 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. 6 + -2a + -2a = -7 + 2a + -2a Combine like terms: -2a + -2a = -4a 6 + -4a = -7 + 2a + -2a Combine like terms: 2a + -2a = 0 6 + -4a = -7 + 0 6 + -4a = -7 Add '-6' to each side of the equation. 6 + -6 + -4a = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -4a = -7 + -6 -4a = -7 + -6 Combine like terms: -7 + -6 = -13 -4a = -13 Divide each side by '-4'. a = 3.25 Simplifying a = 3.25
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