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Simplifying 49 + -7 = 4(a + -2) + 1 Combine like terms: 49 + -7 = 42 42 = 4(a + -2) + 1 Reorder the terms: 42 = 4(-2 + a) + 1 42 = (-2 * 4 + a * 4) + 1 42 = (-8 + 4a) + 1 Reorder the terms: 42 = -8 + 1 + 4a Combine like terms: -8 + 1 = -7 42 = -7 + 4a Solving 42 = -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. 42 + -4a = -7 + 4a + -4a Combine like terms: 4a + -4a = 0 42 + -4a = -7 + 0 42 + -4a = -7 Add '-42' to each side of the equation. 42 + -42 + -4a = -7 + -42 Combine like terms: 42 + -42 = 0 0 + -4a = -7 + -42 -4a = -7 + -42 Combine like terms: -7 + -42 = -49 -4a = -49 Divide each side by '-4'. a = 12.25 Simplifying a = 12.25
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