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Simplifying 8(5x + -13) + -16(2s + 5) = 0 Reorder the terms: 8(-13 + 5x) + -16(2s + 5) = 0 (-13 * 8 + 5x * 8) + -16(2s + 5) = 0 (-104 + 40x) + -16(2s + 5) = 0 Reorder the terms: -104 + 40x + -16(5 + 2s) = 0 -104 + 40x + (5 * -16 + 2s * -16) = 0 -104 + 40x + (-80 + -32s) = 0 Reorder the terms: -104 + -80 + -32s + 40x = 0 Combine like terms: -104 + -80 = -184 -184 + -32s + 40x = 0 Solving -184 + -32s + 40x = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '184' to each side of the equation. -184 + -32s + 184 + 40x = 0 + 184 Reorder the terms: -184 + 184 + -32s + 40x = 0 + 184 Combine like terms: -184 + 184 = 0 0 + -32s + 40x = 0 + 184 -32s + 40x = 0 + 184 Combine like terms: 0 + 184 = 184 -32s + 40x = 184 Add '-40x' to each side of the equation. -32s + 40x + -40x = 184 + -40x Combine like terms: 40x + -40x = 0 -32s + 0 = 184 + -40x -32s = 184 + -40x Divide each side by '-32'. s = -5.75 + 1.25x Simplifying s = -5.75 + 1.25x
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