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Simplifying -153 = -7(5a + 2) + 1 Reorder the terms: -153 = -7(2 + 5a) + 1 -153 = (2 * -7 + 5a * -7) + 1 -153 = (-14 + -35a) + 1 Reorder the terms: -153 = -14 + 1 + -35a Combine like terms: -14 + 1 = -13 -153 = -13 + -35a Solving -153 = -13 + -35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35a' to each side of the equation. -153 + 35a = -13 + -35a + 35a Combine like terms: -35a + 35a = 0 -153 + 35a = -13 + 0 -153 + 35a = -13 Add '153' to each side of the equation. -153 + 153 + 35a = -13 + 153 Combine like terms: -153 + 153 = 0 0 + 35a = -13 + 153 35a = -13 + 153 Combine like terms: -13 + 153 = 140 35a = 140 Divide each side by '35'. a = 4 Simplifying a = 4
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