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Simplifying 7(a + -10) = 2(2a + 3) Reorder the terms: 7(-10 + a) = 2(2a + 3) (-10 * 7 + a * 7) = 2(2a + 3) (-70 + 7a) = 2(2a + 3) Reorder the terms: -70 + 7a = 2(3 + 2a) -70 + 7a = (3 * 2 + 2a * 2) -70 + 7a = (6 + 4a) Solving -70 + 7a = 6 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -70 + 7a + -4a = 6 + 4a + -4a Combine like terms: 7a + -4a = 3a -70 + 3a = 6 + 4a + -4a Combine like terms: 4a + -4a = 0 -70 + 3a = 6 + 0 -70 + 3a = 6 Add '70' to each side of the equation. -70 + 70 + 3a = 6 + 70 Combine like terms: -70 + 70 = 0 0 + 3a = 6 + 70 3a = 6 + 70 Combine like terms: 6 + 70 = 76 3a = 76 Divide each side by '3'. a = 25.33333333 Simplifying a = 25.33333333
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