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Simplifying 5(5b + -10) + 2(-7a + -4) = 0 Reorder the terms: 5(-10 + 5b) + 2(-7a + -4) = 0 (-10 * 5 + 5b * 5) + 2(-7a + -4) = 0 (-50 + 25b) + 2(-7a + -4) = 0 Reorder the terms: -50 + 25b + 2(-4 + -7a) = 0 -50 + 25b + (-4 * 2 + -7a * 2) = 0 -50 + 25b + (-8 + -14a) = 0 Reorder the terms: -50 + -8 + -14a + 25b = 0 Combine like terms: -50 + -8 = -58 -58 + -14a + 25b = 0 Solving -58 + -14a + 25b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '58' to each side of the equation. -58 + -14a + 58 + 25b = 0 + 58 Reorder the terms: -58 + 58 + -14a + 25b = 0 + 58 Combine like terms: -58 + 58 = 0 0 + -14a + 25b = 0 + 58 -14a + 25b = 0 + 58 Combine like terms: 0 + 58 = 58 -14a + 25b = 58 Add '-25b' to each side of the equation. -14a + 25b + -25b = 58 + -25b Combine like terms: 25b + -25b = 0 -14a + 0 = 58 + -25b -14a = 58 + -25b Divide each side by '-14'. a = -4.142857143 + 1.785714286b Simplifying a = -4.142857143 + 1.785714286b
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