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Simplifying 5(7 + -5) + -3(a + 4) + -4 = 4(a + -3) + 7 Combine like terms: 7 + -5 = 2 5(2) + -3(a + 4) + -4 = 4(a + -3) + 7 Multiply 5 * 2 10 + -3(a + 4) + -4 = 4(a + -3) + 7 Reorder the terms: 10 + -3(4 + a) + -4 = 4(a + -3) + 7 10 + (4 * -3 + a * -3) + -4 = 4(a + -3) + 7 10 + (-12 + -3a) + -4 = 4(a + -3) + 7 Reorder the terms: 10 + -12 + -4 + -3a = 4(a + -3) + 7 Combine like terms: 10 + -12 = -2 -2 + -4 + -3a = 4(a + -3) + 7 Combine like terms: -2 + -4 = -6 -6 + -3a = 4(a + -3) + 7 Reorder the terms: -6 + -3a = 4(-3 + a) + 7 -6 + -3a = (-3 * 4 + a * 4) + 7 -6 + -3a = (-12 + 4a) + 7 Reorder the terms: -6 + -3a = -12 + 7 + 4a Combine like terms: -12 + 7 = -5 -6 + -3a = -5 + 4a Solving -6 + -3a = -5 + 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. -6 + -3a + -4a = -5 + 4a + -4a Combine like terms: -3a + -4a = -7a -6 + -7a = -5 + 4a + -4a Combine like terms: 4a + -4a = 0 -6 + -7a = -5 + 0 -6 + -7a = -5 Add '6' to each side of the equation. -6 + 6 + -7a = -5 + 6 Combine like terms: -6 + 6 = 0 0 + -7a = -5 + 6 -7a = -5 + 6 Combine like terms: -5 + 6 = 1 -7a = 1 Divide each side by '-7'. a = -0.1428571429 Simplifying a = -0.1428571429
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