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Simplifying 4a(a + -4) + -7a = a(4a + -3) + 20 Reorder the terms: 4a(-4 + a) + -7a = a(4a + -3) + 20 (-4 * 4a + a * 4a) + -7a = a(4a + -3) + 20 (-16a + 4a2) + -7a = a(4a + -3) + 20 Reorder the terms: -16a + -7a + 4a2 = a(4a + -3) + 20 Combine like terms: -16a + -7a = -23a -23a + 4a2 = a(4a + -3) + 20 Reorder the terms: -23a + 4a2 = a(-3 + 4a) + 20 -23a + 4a2 = (-3 * a + 4a * a) + 20 -23a + 4a2 = (-3a + 4a2) + 20 Reorder the terms: -23a + 4a2 = 20 + -3a + 4a2 Add '-4a2' to each side of the equation. -23a + 4a2 + -4a2 = 20 + -3a + 4a2 + -4a2 Combine like terms: 4a2 + -4a2 = 0 -23a + 0 = 20 + -3a + 4a2 + -4a2 -23a = 20 + -3a + 4a2 + -4a2 Combine like terms: 4a2 + -4a2 = 0 -23a = 20 + -3a + 0 -23a = 20 + -3a Solving -23a = 20 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -23a + 3a = 20 + -3a + 3a Combine like terms: -23a + 3a = -20a -20a = 20 + -3a + 3a Combine like terms: -3a + 3a = 0 -20a = 20 + 0 -20a = 20 Divide each side by '-20'. a = -1 Simplifying a = -1
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