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Simplifying 5(2a + -6) = 2(3a + -1) Reorder the terms: 5(-6 + 2a) = 2(3a + -1) (-6 * 5 + 2a * 5) = 2(3a + -1) (-30 + 10a) = 2(3a + -1) Reorder the terms: -30 + 10a = 2(-1 + 3a) -30 + 10a = (-1 * 2 + 3a * 2) -30 + 10a = (-2 + 6a) Solving -30 + 10a = -2 + 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. -30 + 10a + -6a = -2 + 6a + -6a Combine like terms: 10a + -6a = 4a -30 + 4a = -2 + 6a + -6a Combine like terms: 6a + -6a = 0 -30 + 4a = -2 + 0 -30 + 4a = -2 Add '30' to each side of the equation. -30 + 30 + 4a = -2 + 30 Combine like terms: -30 + 30 = 0 0 + 4a = -2 + 30 4a = -2 + 30 Combine like terms: -2 + 30 = 28 4a = 28 Divide each side by '4'. a = 7 Simplifying a = 7
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