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Simplifying 4a + -1 + -2a = 5 + 3(2a + -6) Reorder the terms: -1 + 4a + -2a = 5 + 3(2a + -6) Combine like terms: 4a + -2a = 2a -1 + 2a = 5 + 3(2a + -6) Reorder the terms: -1 + 2a = 5 + 3(-6 + 2a) -1 + 2a = 5 + (-6 * 3 + 2a * 3) -1 + 2a = 5 + (-18 + 6a) Combine like terms: 5 + -18 = -13 -1 + 2a = -13 + 6a Solving -1 + 2a = -13 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -1 + 2a + -6a = -13 + 6a + -6a Combine like terms: 2a + -6a = -4a -1 + -4a = -13 + 6a + -6a Combine like terms: 6a + -6a = 0 -1 + -4a = -13 + 0 -1 + -4a = -13 Add '1' to each side of the equation. -1 + 1 + -4a = -13 + 1 Combine like terms: -1 + 1 = 0 0 + -4a = -13 + 1 -4a = -13 + 1 Combine like terms: -13 + 1 = -12 -4a = -12 Divide each side by '-4'. a = 3 Simplifying a = 3
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