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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 Solving 7 = -7 + 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. 7 + -4a = -7 + 4a + -4a Combine like terms: 4a + -4a = 0 7 + -4a = -7 + 0 7 + -4a = -7 Add '-7' to each side of the equation. 7 + -7 + -4a = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -4a = -7 + -7 -4a = -7 + -7 Combine like terms: -7 + -7 = -14 -4a = -14 Divide each side by '-4'. a = 3.5 Simplifying a = 3.5
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