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Simplifying 8(2f + -2) + -7(3f + 2) = -10 Reorder the terms: 8(-2 + 2f) + -7(3f + 2) = -10 (-2 * 8 + 2f * 8) + -7(3f + 2) = -10 (-16 + 16f) + -7(3f + 2) = -10 Reorder the terms: -16 + 16f + -7(2 + 3f) = -10 -16 + 16f + (2 * -7 + 3f * -7) = -10 -16 + 16f + (-14 + -21f) = -10 Reorder the terms: -16 + -14 + 16f + -21f = -10 Combine like terms: -16 + -14 = -30 -30 + 16f + -21f = -10 Combine like terms: 16f + -21f = -5f -30 + -5f = -10 Solving -30 + -5f = -10 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -5f = -10 + 30 Combine like terms: -30 + 30 = 0 0 + -5f = -10 + 30 -5f = -10 + 30 Combine like terms: -10 + 30 = 20 -5f = 20 Divide each side by '-5'. f = -4 Simplifying f = -4
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