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Simplifying a + -159 = -7a + -7 Reorder the terms: -159 + a = -7a + -7 Reorder the terms: -159 + a = -7 + -7a Solving -159 + a = -7 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -159 + a + 7a = -7 + -7a + 7a Combine like terms: a + 7a = 8a -159 + 8a = -7 + -7a + 7a Combine like terms: -7a + 7a = 0 -159 + 8a = -7 + 0 -159 + 8a = -7 Add '159' to each side of the equation. -159 + 159 + 8a = -7 + 159 Combine like terms: -159 + 159 = 0 0 + 8a = -7 + 159 8a = -7 + 159 Combine like terms: -7 + 159 = 152 8a = 152 Divide each side by '8'. a = 19 Simplifying a = 19
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