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Simplifying 7(a + -10) = 13 + -3(2a + 3) Reorder the terms: 7(-10 + a) = 13 + -3(2a + 3) (-10 * 7 + a * 7) = 13 + -3(2a + 3) (-70 + 7a) = 13 + -3(2a + 3) Reorder the terms: -70 + 7a = 13 + -3(3 + 2a) -70 + 7a = 13 + (3 * -3 + 2a * -3) -70 + 7a = 13 + (-9 + -6a) Combine like terms: 13 + -9 = 4 -70 + 7a = 4 + -6a Solving -70 + 7a = 4 + -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. -70 + 7a + 6a = 4 + -6a + 6a Combine like terms: 7a + 6a = 13a -70 + 13a = 4 + -6a + 6a Combine like terms: -6a + 6a = 0 -70 + 13a = 4 + 0 -70 + 13a = 4 Add '70' to each side of the equation. -70 + 70 + 13a = 4 + 70 Combine like terms: -70 + 70 = 0 0 + 13a = 4 + 70 13a = 4 + 70 Combine like terms: 4 + 70 = 74 13a = 74 Divide each side by '13'. a = 5.692307692 Simplifying a = 5.692307692
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