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Simplifying 5(a + -2) = 6(a + -3) + 2 Reorder the terms: 5(-2 + a) = 6(a + -3) + 2 (-2 * 5 + a * 5) = 6(a + -3) + 2 (-10 + 5a) = 6(a + -3) + 2 Reorder the terms: -10 + 5a = 6(-3 + a) + 2 -10 + 5a = (-3 * 6 + a * 6) + 2 -10 + 5a = (-18 + 6a) + 2 Reorder the terms: -10 + 5a = -18 + 2 + 6a Combine like terms: -18 + 2 = -16 -10 + 5a = -16 + 6a Solving -10 + 5a = -16 + 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. -10 + 5a + -6a = -16 + 6a + -6a Combine like terms: 5a + -6a = -1a -10 + -1a = -16 + 6a + -6a Combine like terms: 6a + -6a = 0 -10 + -1a = -16 + 0 -10 + -1a = -16 Add '10' to each side of the equation. -10 + 10 + -1a = -16 + 10 Combine like terms: -10 + 10 = 0 0 + -1a = -16 + 10 -1a = -16 + 10 Combine like terms: -16 + 10 = -6 -1a = -6 Divide each side by '-1'. a = 6 Simplifying a = 6
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