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Simplifying 8(a + 10) = 6[a + -1(3 + -1a)] Reorder the terms: 8(10 + a) = 6[a + -1(3 + -1a)] (10 * 8 + a * 8) = 6[a + -1(3 + -1a)] (80 + 8a) = 6[a + -1(3 + -1a)] 80 + 8a = 6[a + (3 * -1 + -1a * -1)] 80 + 8a = 6[a + (-3 + 1a)] Reorder the terms: 80 + 8a = 6[-3 + a + 1a] Combine like terms: a + 1a = 2a 80 + 8a = 6[-3 + 2a] 80 + 8a = [-3 * 6 + 2a * 6] 80 + 8a = [-18 + 12a] Solving 80 + 8a = -18 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 80 + 8a + -12a = -18 + 12a + -12a Combine like terms: 8a + -12a = -4a 80 + -4a = -18 + 12a + -12a Combine like terms: 12a + -12a = 0 80 + -4a = -18 + 0 80 + -4a = -18 Add '-80' to each side of the equation. 80 + -80 + -4a = -18 + -80 Combine like terms: 80 + -80 = 0 0 + -4a = -18 + -80 -4a = -18 + -80 Combine like terms: -18 + -80 = -98 -4a = -98 Divide each side by '-4'. a = 24.5 Simplifying a = 24.5
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