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Simplifying 7a + -70 = 13 + -2(2a + 3) Reorder the terms: -70 + 7a = 13 + -2(2a + 3) Reorder the terms: -70 + 7a = 13 + -2(3 + 2a) -70 + 7a = 13 + (3 * -2 + 2a * -2) -70 + 7a = 13 + (-6 + -4a) Combine like terms: 13 + -6 = 7 -70 + 7a = 7 + -4a Solving -70 + 7a = 7 + -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 = 7 + -4a + 4a Combine like terms: 7a + 4a = 11a -70 + 11a = 7 + -4a + 4a Combine like terms: -4a + 4a = 0 -70 + 11a = 7 + 0 -70 + 11a = 7 Add '70' to each side of the equation. -70 + 70 + 11a = 7 + 70 Combine like terms: -70 + 70 = 0 0 + 11a = 7 + 70 11a = 7 + 70 Combine like terms: 7 + 70 = 77 11a = 77 Divide each side by '11'. a = 7 Simplifying a = 7
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