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Simplifying -7 = 4(a + -2) + 1 Reorder the terms: -7 = 4(-2 + a) + 1 -7 = (-2 * 4 + a * 4) + 1 -7 = (-8 + 4a) + 1 Reorder the terms: -7 = -8 + 1 + 4a Combine like terms: -8 + 1 = -7 -7 = -7 + 4a Add '7' to each side of the equation. -7 + 7 = -7 + 7 + 4a Combine like terms: -7 + 7 = 0 0 = -7 + 7 + 4a Combine like terms: -7 + 7 = 0 0 = 0 + 4a 0 = 4a Solving 0 = 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. 0 + -4a = 4a + -4a Remove the zero: -4a = 4a + -4a Combine like terms: 4a + -4a = 0 -4a = 0 Divide each side by '-4'. a = 0 Simplifying a = 0
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