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Simplifying 7(9 + 1) + -3a = 5 + 4(2a + -1) Combine like terms: 9 + 1 = 10 7(10) + -3a = 5 + 4(2a + -1) Multiply 7 * 10 70 + -3a = 5 + 4(2a + -1) Reorder the terms: 70 + -3a = 5 + 4(-1 + 2a) 70 + -3a = 5 + (-1 * 4 + 2a * 4) 70 + -3a = 5 + (-4 + 8a) Combine like terms: 5 + -4 = 1 70 + -3a = 1 + 8a Solving 70 + -3a = 1 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 70 + -3a + -8a = 1 + 8a + -8a Combine like terms: -3a + -8a = -11a 70 + -11a = 1 + 8a + -8a Combine like terms: 8a + -8a = 0 70 + -11a = 1 + 0 70 + -11a = 1 Add '-70' to each side of the equation. 70 + -70 + -11a = 1 + -70 Combine like terms: 70 + -70 = 0 0 + -11a = 1 + -70 -11a = 1 + -70 Combine like terms: 1 + -70 = -69 -11a = -69 Divide each side by '-11'. a = 6.272727273 Simplifying a = 6.272727273
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