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Simplifying 5(a + -6) + -3 = 5 + -1(a + 2) Reorder the terms: 5(-6 + a) + -3 = 5 + -1(a + 2) (-6 * 5 + a * 5) + -3 = 5 + -1(a + 2) (-30 + 5a) + -3 = 5 + -1(a + 2) Reorder the terms: -30 + -3 + 5a = 5 + -1(a + 2) Combine like terms: -30 + -3 = -33 -33 + 5a = 5 + -1(a + 2) Reorder the terms: -33 + 5a = 5 + -1(2 + a) -33 + 5a = 5 + (2 * -1 + a * -1) -33 + 5a = 5 + (-2 + -1a) Combine like terms: 5 + -2 = 3 -33 + 5a = 3 + -1a Solving -33 + 5a = 3 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -33 + 5a + a = 3 + -1a + a Combine like terms: 5a + a = 6a -33 + 6a = 3 + -1a + a Combine like terms: -1a + a = 0 -33 + 6a = 3 + 0 -33 + 6a = 3 Add '33' to each side of the equation. -33 + 33 + 6a = 3 + 33 Combine like terms: -33 + 33 = 0 0 + 6a = 3 + 33 6a = 3 + 33 Combine like terms: 3 + 33 = 36 6a = 36 Divide each side by '6'. a = 6 Simplifying a = 6
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