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Simplifying 4(a + -1) + 1 = -21(a + -1) * 4 + 1 + -1 Reorder the terms: 4(-1 + a) + 1 = -21(a + -1) * 4 + 1 + -1 (-1 * 4 + a * 4) + 1 = -21(a + -1) * 4 + 1 + -1 (-4 + 4a) + 1 = -21(a + -1) * 4 + 1 + -1 Reorder the terms: -4 + 1 + 4a = -21(a + -1) * 4 + 1 + -1 Combine like terms: -4 + 1 = -3 -3 + 4a = -21(a + -1) * 4 + 1 + -1 Reorder the terms: -3 + 4a = -21(-1 + a) * 4 + 1 + -1 Reorder the terms for easier multiplication: -3 + 4a = -21 * 4(-1 + a) + 1 + -1 Multiply -21 * 4 -3 + 4a = -84(-1 + a) + 1 + -1 -3 + 4a = (-1 * -84 + a * -84) + 1 + -1 -3 + 4a = (84 + -84a) + 1 + -1 Reorder the terms: -3 + 4a = 84 + 1 + -1 + -84a Combine like terms: 84 + 1 = 85 -3 + 4a = 85 + -1 + -84a Combine like terms: 85 + -1 = 84 -3 + 4a = 84 + -84a Solving -3 + 4a = 84 + -84a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '84a' to each side of the equation. -3 + 4a + 84a = 84 + -84a + 84a Combine like terms: 4a + 84a = 88a -3 + 88a = 84 + -84a + 84a Combine like terms: -84a + 84a = 0 -3 + 88a = 84 + 0 -3 + 88a = 84 Add '3' to each side of the equation. -3 + 3 + 88a = 84 + 3 Combine like terms: -3 + 3 = 0 0 + 88a = 84 + 3 88a = 84 + 3 Combine like terms: 84 + 3 = 87 88a = 87 Divide each side by '88'. a = 0.9886363636 Simplifying a = 0.9886363636
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