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Simplifying 94(1 + -4a) + 58 = 100 + (-2 + -4a) (1 * 94 + -4a * 94) + 58 = 100 + (-2 + -4a) (94 + -376a) + 58 = 100 + (-2 + -4a) Reorder the terms: 94 + 58 + -376a = 100 + (-2 + -4a) Combine like terms: 94 + 58 = 152 152 + -376a = 100 + (-2 + -4a) Remove parenthesis around (-2 + -4a) 152 + -376a = 100 + -2 + -4a Combine like terms: 100 + -2 = 98 152 + -376a = 98 + -4a Solving 152 + -376a = 98 + -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. 152 + -376a + 4a = 98 + -4a + 4a Combine like terms: -376a + 4a = -372a 152 + -372a = 98 + -4a + 4a Combine like terms: -4a + 4a = 0 152 + -372a = 98 + 0 152 + -372a = 98 Add '-152' to each side of the equation. 152 + -152 + -372a = 98 + -152 Combine like terms: 152 + -152 = 0 0 + -372a = 98 + -152 -372a = 98 + -152 Combine like terms: 98 + -152 = -54 -372a = -54 Divide each side by '-372'. a = 0.1451612903 Simplifying a = 0.1451612903
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