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Simplifying 62 = 3(-6 + 6a) + 4(a + -2) 62 = (-6 * 3 + 6a * 3) + 4(a + -2) 62 = (-18 + 18a) + 4(a + -2) Reorder the terms: 62 = -18 + 18a + 4(-2 + a) 62 = -18 + 18a + (-2 * 4 + a * 4) 62 = -18 + 18a + (-8 + 4a) Reorder the terms: 62 = -18 + -8 + 18a + 4a Combine like terms: -18 + -8 = -26 62 = -26 + 18a + 4a Combine like terms: 18a + 4a = 22a 62 = -26 + 22a Solving 62 = -26 + 22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22a' to each side of the equation. 62 + -22a = -26 + 22a + -22a Combine like terms: 22a + -22a = 0 62 + -22a = -26 + 0 62 + -22a = -26 Add '-62' to each side of the equation. 62 + -62 + -22a = -26 + -62 Combine like terms: 62 + -62 = 0 0 + -22a = -26 + -62 -22a = -26 + -62 Combine like terms: -26 + -62 = -88 -22a = -88 Divide each side by '-22'. a = 4 Simplifying a = 4
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