-p+2.66=5.8(-4.8p+1.6)+6.8

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Solution for -p+2.66=5.8(-4.8p+1.6)+6.8 equation: 


Simplifying
-1p + 2.66 = 5.8(-4.8p + 1.6) + 6.8

Reorder the terms:
2.66 + -1p = 5.8(-4.8p + 1.6) + 6.8

Reorder the terms:
2.66 + -1p = 5.8(1.6 + -4.8p) + 6.8
2.66 + -1p = (1.6 * 5.8 + -4.8p * 5.8) + 6.8
2.66 + -1p = (9.28 + -27.84p) + 6.8

Reorder the terms:
2.66 + -1p = 9.28 + 6.8 + -27.84p

Combine like terms: 9.28 + 6.8 = 16.08
2.66 + -1p = 16.08 + -27.84p

Solving
2.66 + -1p = 16.08 + -27.84p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '27.84p' to each side of the equation.
2.66 + -1p + 27.84p = 16.08 + -27.84p + 27.84p

Combine like terms: -1p + 27.84p = 26.84p
2.66 + 26.84p = 16.08 + -27.84p + 27.84p

Combine like terms: -27.84p + 27.84p = 0.00
2.66 + 26.84p = 16.08 + 0.00
2.66 + 26.84p = 16.08

Add '-2.66' to each side of the equation.
2.66 + -2.66 + 26.84p = 16.08 + -2.66

Combine like terms: 2.66 + -2.66 = 0.00
0.00 + 26.84p = 16.08 + -2.66
26.84p = 16.08 + -2.66

Combine like terms: 16.08 + -2.66 = 13.42
26.84p = 13.42

Divide each side by '26.84'.
p = 0.5

Simplifying
p = 0.5

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