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Simplifying 4(a + 3) = 10[a + -1(7 + -1a)] Reorder the terms: 4(3 + a) = 10[a + -1(7 + -1a)] (3 * 4 + a * 4) = 10[a + -1(7 + -1a)] (12 + 4a) = 10[a + -1(7 + -1a)] 12 + 4a = 10[a + (7 * -1 + -1a * -1)] 12 + 4a = 10[a + (-7 + 1a)] Reorder the terms: 12 + 4a = 10[-7 + a + 1a] Combine like terms: a + 1a = 2a 12 + 4a = 10[-7 + 2a] 12 + 4a = [-7 * 10 + 2a * 10] 12 + 4a = [-70 + 20a] Solving 12 + 4a = -70 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. 12 + 4a + -20a = -70 + 20a + -20a Combine like terms: 4a + -20a = -16a 12 + -16a = -70 + 20a + -20a Combine like terms: 20a + -20a = 0 12 + -16a = -70 + 0 12 + -16a = -70 Add '-12' to each side of the equation. 12 + -12 + -16a = -70 + -12 Combine like terms: 12 + -12 = 0 0 + -16a = -70 + -12 -16a = -70 + -12 Combine like terms: -70 + -12 = -82 -16a = -82 Divide each side by '-16'. a = 5.125 Simplifying a = 5.125
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