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Simplifying -200 = 4(-1 + 7a) -200 = (-1 * 4 + 7a * 4) -200 = (-4 + 28a) Solving -200 = -4 + 28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28a' to each side of the equation. -200 + -28a = -4 + 28a + -28a Combine like terms: 28a + -28a = 0 -200 + -28a = -4 + 0 -200 + -28a = -4 Add '200' to each side of the equation. -200 + 200 + -28a = -4 + 200 Combine like terms: -200 + 200 = 0 0 + -28a = -4 + 200 -28a = -4 + 200 Combine like terms: -4 + 200 = 196 -28a = 196 Divide each side by '-28'. a = -7 Simplifying a = -7
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