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Simplifying 5(3a + -3) + -1(4a + -1) = 0 Reorder the terms: 5(-3 + 3a) + -1(4a + -1) = 0 (-3 * 5 + 3a * 5) + -1(4a + -1) = 0 (-15 + 15a) + -1(4a + -1) = 0 Reorder the terms: -15 + 15a + -1(-1 + 4a) = 0 -15 + 15a + (-1 * -1 + 4a * -1) = 0 -15 + 15a + (1 + -4a) = 0 Reorder the terms: -15 + 1 + 15a + -4a = 0 Combine like terms: -15 + 1 = -14 -14 + 15a + -4a = 0 Combine like terms: 15a + -4a = 11a -14 + 11a = 0 Solving -14 + 11a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 11a = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 11a = 0 + 14 11a = 0 + 14 Combine like terms: 0 + 14 = 14 11a = 14 Divide each side by '11'. a = 1.272727273 Simplifying a = 1.272727273
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